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2042124 = 2237223151
BaseRepresentation
bin111110010100100001100
310211202021020
413302210030
51010321444
6111434140
723233500
oct7624414
93752236
102042124
111175307
12825950
13566676
143b2300
152a5119
hex1f290c

2042124 has 72 divisors (see below), whose sum is σ = 5822208. Its totient is φ = 554400.

The previous prime is 2042123. The next prime is 2042129. The reversal of 2042124 is 4212402.

It is not an unprimeable number, because it can be changed into a prime (2042123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13449 + ... + 13599.

It is an arithmetic number, because the mean of its divisors is an integer number (80864).

22042124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911104).

2042124 is an abundant number, since it is smaller than the sum of its proper divisors (3780084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2042124 is a wasteful number, since it uses less digits than its factorization.

2042124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2042124 is about 1429.0290409925. The cubic root of 2042124 is about 126.8705151011.

Adding to 2042124 its reverse (4212402), we get a palindrome (6254526).

The spelling of 2042124 in words is "two million, forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 151 161 196 276 294 302 322 453 483 588 604 644 906 966 1057 1127 1812 1932 2114 2254 3171 3381 3473 4228 4508 6342 6762 6946 7399 10419 12684 13524 13892 14798 20838 22197 24311 29596 41676 44394 48622 72933 88788 97244 145866 170177 291732 340354 510531 680708 1021062 2042124